28505622600 has 576 divisors, whose sum is σ = 123017126400. Its totient is φ = 6013647360.

The previous prime is 28505622589. The next prime is 28505622643. The reversal of 28505622600 is 622650582.

28505622600 is a `hidden beast` number, since 28 + 5 + 0 + 5 + 6 + 22 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3435657 + ... + 3443943.

It is an arithmetic number, because the mean of its divisors is an integer number (213571400).

Almost surely, 2^28505622600 is an apocalyptic number.

28505622600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28505622600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61508563200).

28505622600 is an abundant number, since it is smaller than the sum of its proper divisors (94511503800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28505622600 is a wasteful number, since it uses less digits than its factorization.

28505622600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 28505622600 in words is "twenty-eight billion, five hundred five million, six hundred twenty-two thousand, six hundred".